4131100104032 has 96 divisors (see below), whose sum is σ = 8996065745184. Its totient is φ = 1851628032000.

The previous prime is 4131100103983. The next prime is 4131100104037. The reversal of 4131100104032 is 2304010011314.

It is a junction number, because it is equal to n+sod(n) for n = 4131100103995 and 4131100104013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131100104037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131059538 + ... + 131091054.

It is an arithmetic number, because the mean of its divisors is an integer number (93709018179).

Almost surely, 2^{4131100104032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4131100104032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498032872592).

4131100104032 is an abundant number, since it is smaller than the sum of its proper divisors (4864965641152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4131100104032 is a wasteful number, since it uses less digits than its factorization.

4131100104032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36712 (or 36704 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 4131100104032 its reverse (2304010011314), we get a palindrome (6435110115346).

The spelling of 4131100104032 in words is "four trillion, one hundred thirty-one billion, one hundred million, one hundred four thousand, thirty-two".